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Prime magic (Posted on 2018-09-29) Difficulty: 2 of 5
What is the smallest possible constant of a 3×3 magic square containing nine distinct non-composite numbers only?

No Solution Yet Submitted by Ady TZIDON    
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re: solution(?) Comment 3 of 3 |
(In reply to solution(?) by Justin)

Right - I just modified my program to find all the minimum constants (zeros) for a,b,c <21. There are two solutions (discounting rotations and reflections)

Here they are below.
I also verified Justin's complete solutions:  min constant = 111 for non-neg terms a,b,c (-50, 50) and the constant = 177 as the minimum for strictly primes for a, b, c all between -1000,1000. (I found only 1 solution + rotations etc. in each case, once again, those he gave.)

That being said, I have no idea how to prove this is a minimum for all a,b,c. 

   0

   2     -7      5

   3      0     -3

  -5      7     -2


   0

   2     -5      3

   1      0     -1

  -3      5     -2


Edited on September 29, 2018, 8:22 pm
  Posted by Steven Lord on 2018-09-29 16:19:50

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